2/3
You pick a point and divide the amount you go vertically by the amount you go horizontally to the next point.
Answer:
Step-by-step explanation:
The
average rate of change
of f(x) over an interval between 2 points (a ,f(a)) and (b ,f(b)) is the slope of the
secant line
connecting the 2 points.
To calculate the average rate of change between the 2 points use.
∣
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
f
(
b
)
−
f
(
a
)
b
−
a
a
a
∣
∣
∣
−−−−−−−−−−−−−−−
f
(
9
)
=
9
2
−
6
(
9
)
+
8
=
35
and
f
(
4
)
=
4
2
−
6
(
4
)
+
8
=
0
The average rate of change between (4 ,0) and (9 ,35) is
35
−
0
9
−
4
=
35
5
=
7
This means that the average of all the slopes of lines tangent to the graph of f(x) between (4 ,0) and (9 ,35) is 7.
Point, line and plane are the undefined terms
